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For the structural member of Prob. 7.53, determine (a) the angle θ for which the maximum absolute value of the bending moment in beam AB is as small as possible, (b) the corresponding value of |M|max. (Hint: Draw the bending-moment diagram and then equate the absolute values of the largest positive and negative bending moments obtained.)
PROBLEM 7.53 Two small channel sections DF and EH have been welded to the uniform beam AB of weight W = 3 kN to form the rigid structural member shown. This member is being lifted by two cables attached at D and E. Knowing that θ = 30° and neglecting the weight of the channel sections, (a) draw the shear and bending-moment diagrams for beam AB, (b) determine the maximum absolute values of the shear and bending moment in the beam.
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- 4. A (250 mm) depth and (150mm) width rectangular beam is subjected to maximum bending moment of (750 KN.m), Determine: a. The maximum stress in the beam ? b. If the value of Young Modulus (E) for the beam material is (200 GPa), find the radius of curvature for that portion of the beam where the bending is maximum ? c. The value of the longitudinal stress at a distance of (65mm) from the top surface of the beam ?arrow_forward7arrow_forwardIn order to reduce the bending moment in the cantilever beam AB , a cable and counterweight are permanently attached at end B . Determine the magnitude of the counterweight for which the maximum absolute value of the bending moment in the beam is as small as possible and the corresponding value of |M| max. Consider (a) the case when the distributed load is permanently applied to the beam, (b) the more general case when the distributed load may either be applied or removed.arrow_forward
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